• The Pure and Applied Mathematics
• /
• v.26 no.4
• /
• pp.289-303
• /
• 2019

We study the existence and uniqueness of fixed point for isotone mappings of any number of arguments under Mizoguchi-Takahashi contraction on a complete metric space endowed with a partial order. As an application of our result we study the existence and uniqueness of the solution to integral equation. The results we obtain generalize, extend and unify several very recent related results in the literature.

• Bulletin of the Korean Mathematical Society
• /
• v.50 no.2
• /
• pp.485-498
• /
• 2013

In this paper, the Schur convexity is generalized to Schur $f$-convexity, which contains the Schur geometrical convexity, harmonic convexity and so on. When $f$ : ${\mathbb{R}}_+{\rightarrow}{\mathbb{R}}$ is defined as $f(x)=(x^m-1)/m$ if $m{\neq}0$ and $f(x)$ = ln $x$ if $m=0$, the necessary and sufficient conditions for $f$-convexity (is called Schur $m$-power convexity) of Gini means are given, which generalize and unify certain known results.

• Journal of Korean Society for Quality Management
• /
• v.16 no.2
• /
• pp.48-55
• /
• 1988

There have been several papers to illustrate how an information system is used in an automated warehouse system. These papers, however. do not carefully address the role of warehouse planning/control systems nor do they recognize how to integrate the management planning/control systems, and automated warehouse system. This article addresses such issues and shows how a business computer system can be used to integrate and unify the warehouse planning/control systems and the automated warehouse system into it single and highly productive operating system.

• Journal of applied mathematics & informatics
• /
• v.26 no.3_4
• /
• pp.481-491
• /
• 2008

In this paper, we introduce and analyze a new class of generalized mixed equilibrium-like problems. By using the auxiliary principle technique, we suggest three iterative algorithms for the generalized mixed equilibrium-like problem. Under certain conditions, we establish the convergence of the iterative algorithms. Our results extend, improve and unify several known results in this field.

• Bulletin of the Korean Mathematical Society
• /
• v.45 no.1
• /
• pp.133-142
• /
• 2008

Given an $m{\in}\mathbb{N}$ and two vector spaces V and W, a function f : $V^m{\rightarrow}W$ is called multi-Jensen if it satisfies Jensen's equation in each variable separately. In this paper we unify these m Jensen equations to obtain a single functional equation for f and prove its stability in the sense of Hyers-Ulam, using the so-called direct method.

• Communications of the Korean Mathematical Society
• /
• v.29 no.1
• /
• pp.83-95
• /
• 2014

In a uniformly convex Banach space, we introduce a iterative scheme for a finite family of asymptotically quasi-nonexpansive mappings and utilize a new inequality to prove several convergence results for the iterative sequence. The results generalize and unify many important known results of relevant scholars.

• Journal of the Korean Mathematical Society
• /
• v.52 no.1
• /
• pp.125-139
• /
• 2015

In this paper we introduce the notion of the generalized Darbo fixed point theorem and prove some fixed and coupled fixed point theorems in Banach space via the measure of non-compactness, which generalize the result of Aghajani et al. [6]. Our results generalize, extend, and unify several well-known comparable results in the literature. One of the applications of our main result is to prove the existence of solutions for the system of integral equations.

• Journal of the Korean Mathematical Society
• /
• v.53 no.1
• /
• pp.57-72
• /
• 2016

We establish maximal moment inequalities of partial sums under ${\psi}$-weak dependence, which has been proposed by Doukhan and Louhichi [P. Doukhan and S. Louhichi, A new weak dependence condition and application to moment inequality, Stochastic Process. Appl. 84 (1999), 313-342], to unify weak dependence such as mixing, association, Gaussian sequences and Bernoulli shifts. As an application of maximal moment inequalities, a functional central limit theorem is developed for linear processes with ${\psi}$-weakly dependent innovations.

• Kyungpook Mathematical Journal
• /
• v.57 no.2
• /
• pp.193-198
• /
• 2017

In this paper we investigate 2-absorbing ${\delta}$-primary ideals which unify 2-absorbing ideals and 2-absorbing primary ideals. A number of results about 2-absorbing ideals and 2-absorbing primary ideals are extended into this general framework.

• Journal of the military operations research society of Korea
• /
• v.17 no.1
• /
• pp.130-145
• /
• 1991

The literature has recorded many models dealing with manpower forecasting and planning. The approaches used by the various authors are clearly disparate. This paper presents a taxonomy for manpower planning and forecasting methodologies and classifies the landmark developments in this field. The taxonomical schema is then applied to unify the models in consideration of the methods and the decision factors used for forecasting and/or planning. The taxonomy allows for the most complex model structure containing all the factors considered germane in the existing literature.